Answer:
The surface area of the triangular prism is approximately 401.582 square feet.
Step-by-step explanation:
The figure represents a triangular prism, the procedure for calculating the surface area of the entire figure consists in adding the areas of each face (3 rectangles and 2 triangles):
[tex]A = 2\cdot \left[\frac{1}{2}\cdot (9\,ft)\cdot (4\,ft)\right] + (16\,ft)\cdot (4\,ft) + (9\,ft)\cdot (16\,ft) + (16\,ft)\cdot \sqrt{(9\,ft)^{2}+(4\,ft)^{2}}[/tex][tex]A \approx 401.582\,ft^{2}[/tex]
The surface area of the triangular prism is approximately 401.582 square feet.
